Find the number of permutations of 10 objects, taken 4 at a time.

1.	Find the number of permutations of 10 objects, taken 4 at a time.
Answer» To find: the number of permutations of 10 objects, taken 4 at a time. Formula Used: Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by, ⁿP_r = \(\frac{n!}{(n-r)!}\) ¹⁰P₄ = \(\frac{10!}{6!}\) ¹⁰P₄ = 10^{x 9x8x7} ¹⁰P₄ = 5040 Hence, the number of permutations of 10 objects, taken 4 at a time is 5040.

Answer»

To find:

the number of permutations of 10 objects, taken 4 at a time.

Formula Used:

Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by,

ⁿP_r = \(\frac{n!}{(n-r)!}\)

¹⁰P₄ = \(\frac{10!}{6!}\)

¹⁰P₄ = 10^{x 9x8x7}

¹⁰P₄ = 5040

Hence, the number of permutations of 10 objects, taken 4 at a time is 5040.

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